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Finding the Third Proportional to 74,228 and 113,214

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Solution

The third proportional to 74,228 and 113,214 is: 172,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,228 : 113,214 = 113,214 : x
  2. Step 2: Convert to fraction form
    74,228/113,214 = 113,214/x
  3. Step 3: Cross multiply
    74,228x = 113,214 × 113,214
  4. Step 4: Simplify right side
    74,228x = 12,817,409,796
  5. Step 5: Solve for x
    x = 12,817,409,796/74,228
  6. Step 6: Final answer
    x = 172,676.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.